Computational complexity theory

Asymptotic computational complexity

In computational complexity theory, asymptotic computational complexity is the usage of asymptotic analysis for the estimation of computational complexity of algorithms and computational problems, commonly associated with the usage of the big O notation. (Wikipedia).

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What are asymptotes?

What are asymptotes? How to find them (several examples). 00:00 Intro 00:07 What is an asymptote? 00:36 Three types of asymptote 02:08 Find horizontal asymptotes for rational functions 04:55 Functions with Two horizontal asymptotes 05:50 Find vertical asymptotes 07:24 Find oblique as

From playlist Calculus

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Brainstorming: What is an Asymptote?

In this video, we explore what it means for a curve to have an asymptote. We focus on how to determine when a function has a vertical and/or horizontal asymptote. College Algebra homepage: http://webspace.ship.edu/jehamb/calg.html

From playlist College Algebra

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Introduction to Big-Omega Notation

This video introduces Big-Omega notation. http://mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

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Introduction to Big-O Notation

This video introduces Big-O notation. http://mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

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Compare Algorithm Complexity Given The Execution Time as a Function

This video explains how to use a limit at infinity to compare the complexity (growth rate) of two functions. http://mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

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The most powerful (and useless) algorithm

0:00 Intro 2:44 The Algorithm 6:38 Why it works 9:28 Code 10:41 Final Thoughts Our implementation of Universal Search: https://github.com/polylog-cs/universal-search/blob/main/code/universal_search.py Impromptu https://impromptu.fun/ More about universal search: -- To prove that the un

From playlist Algorithms

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09/07/18 Stephen Melczer

Symbolic Computation and Analytic Combinatorics in Several Variables

From playlist Fall 2018 Kolchin Seminar

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Infinite Limit vs Limits at Infinity of a Composite Function

Vertical asymptotes are (finite) values of x where limit of the function tends to either plus or minus infinity on one of the sides. Horizontal asymptotes look at whether the limit as x goes to plus or minute infinity approaches a finite value. In this example we look at a tricky functio

From playlist Calculus I (Limits, Derivative, Integrals) **Full Course**

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Marco Serone - 1/3 Resurgence in Integrable Field Theories

: We review recent progress in understanding the resurgent properties of integrable field theories in two dimensions. After a brief recap on elementary notions about Borel resummations, we start with a quick historical detour on the study of the large order behaviour of perturbation theory

From playlist Marco Serone - Resurgence in Integrable Field Theories

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Sebastián Donoso: Recent developments in finite rank systems

I will comment on recent results concerning the topological properties of finite rank Cantor minimal systems. I will mention some ideas to estimate their word complexity and ask a few open problems. CIRM HYBRID EVENT Recorded during the meeting "Algebraic and Combinatorial Invariants

From playlist Virtual Conference

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Calculus 1: Limits & Derivatives (13 of 27) Limits and Horizontal Asymptotes

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the limit limit of a function. Next video in the series can be seen at: http://youtu.be/9YOqtdrJ4g0

From playlist CALCULUS 1 CH 1 LIMITS & DERIVATIVES

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André Voros - Resurgent Theta-functions...

Resurgent Theta-functions: a conjectured gateway into dimension D superior at 1 quantum mechanics Resurgent analysis of the stationary Schrödinger equation (exact-WKB method) has remained exclusivelyconfined to 1D systems due to its underlying linear-ODE techniques.Here, b

From playlist Resurgence in Mathematics and Physics

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Benjamin McKenna (NYU) -- Random Determinants and Landscape Complexity Beyond Invariance

The Kac-Rice formula allows one to study complexity of high-dimensional Gaussian random functions (meaning asymptotic counts of critical points) via determinants of large random matrices. We present a new result on determinant asymptotics for non-invariant random matrices, and use it to co

From playlist Northeastern Probability Seminar 2020

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Ricardo Schiappa - Resurgence Asymptotics in String Theory

Following up on the morning lecture, I will give a very light introduction to resurgent asymptotics. These techniques will then be explored (again in the spirit of a light introduction) within transseries solutions of topological string theory, themselves obtained via a nonperturbative com

From playlist 7ème Séminaire Itzykson : « Résurgence et quantification »

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Twitch Talks - Asymptotics

Presenters: Itai Seggev & Devendra Kapadia Previously broadcast live on April 30, 2019 at twitch.tv/wolfram. For more information, please visit: https://www.wolfram.com/language/12/asymptotics/?product=language

From playlist Twitch Talks

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Computing Embedded Contact Homology in the Morse-Bott Setting using Cascades - Yuan Yao

Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Computing Embedded Contact Homology in the Morse-Bott Setting using Cascades Speaker: Yuan Yao Affiliation: University of California, Berkeley Date: November 28, 2022  I will first give an overview of ECH. Then I will desc

From playlist Mathematics

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Mean field asymptotics in high-dimensional statistics – A. Montanari – ICM2018

Probability and Statistics Invited Lecture 12.16 Mean field asymptotics in high-dimensional statistics: From exact results to efficient algorithms Andrea Montanari Abstract: Modern data analysis challenges require building complex statistical models with massive numbers of parameters. It

From playlist Probability and Statistics

Related pages

Randomized algorithm | Deterministic algorithm | Theoretical computer science | Juris Hartmanis | Big O notation | Circuit complexity | Computational resource | Asymptotic analysis | Computational problem | Probabilistic analysis of algorithms | David S. Johnson | Nondeterministic algorithm | Asymptotically optimal algorithm | Space complexity | Time complexity | Computational complexity theory | Algorithm | Analysis of algorithms | NP-completeness